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Finding the Fourth Proportional to 65,219.50, 97,843.20 and 20,239.88

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Solution

The fourth proportional to 65,219.50, 97,843.20 and 20,239.88 is: 30,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.50 : 97,843.20 = 20,239.88 : x
  2. Step 2: Convert to fraction form
    65,219.50/97,843.20 = 20,239.88/x
  3. Step 3: Cross multiply
    65,219.50x = 97,843.20 × 20,239.88
  4. Step 4: Simplify right side
    65,219.50x = 1,980,334,626.82
  5. Step 5: Solve for x
    x = 1,980,334,626.82/65,219.50
  6. Step 6: Final answer
    x = 30,364.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.